• DocumentCode
    810232
  • Title

    Solution of the 3D Helmholtz equation with eddy currents in cylindrical coordinates by longitudinal components

  • Author

    Gong, L. ; Hagel, R. ; Zhang, K. ; Unbehauen, R.

  • Author_Institution
    Dept. of Electr. Eng., Tsinghua Univ., Beijing, China
  • Volume
    28
  • Issue
    2
  • fYear
    1992
  • fDate
    3/1/1992 12:00:00 AM
  • Firstpage
    1154
  • Lastpage
    1157
  • Abstract
    A semi-analytical method is presented based on the concept of separation of variables and the Fourier transform for solving the 3D Helmholtz equation with eddy currents using the longitudinal components in a conducting shell of infinite length and finite thickness. To approximate the complicated incident field, a Fourier expansion and the discrete Fourier transform (DFT) are used. Finally, the inverse DFT is applied. The numerical results are reasonable
  • Keywords
    conductors (electric); eddy currents; fast Fourier transforms; 3D Helmholtz equation; Fourier expansion; Fourier transform; conducting shell; cylindrical coordinates; discrete Fourier transform; eddy currents; inverse DFT; longitudinal components; semi-analytical method; Conducting materials; Discrete Fourier transforms; Eddy currents; Electromagnetic fields; Fourier series; Fourier transforms; Magnetic analysis; Magnetic flux density; Maxwell equations;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.123889
  • Filename
    123889